TSTP Solution File: MGT030-1 by Drodi---3.6.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : MGT030-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 20:28:42 EDT 2024
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : MGT030-1 : TPTP v8.1.2. Released v2.4.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.35 % Computer : n004.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Mon Apr 29 23:32:18 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Drodi V3.6.0
% 0.13/0.36 % Refutation found
% 0.13/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.36 % SZS output start CNFRefutation for theBenchmark
% 0.13/0.36 fof(f1,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| in_environment(A,sk2(A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f2,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| in_environment(A,sk2(A)) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f3,axiom,(
% 0.13/0.36 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.36 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.36 fof(f4,axiom,(
% 0.13/0.36 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| subpopulations(first_movers,efficient_producers,A,sk1(B,A))| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f5,axiom,(
% 0.13/0.37 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f6,axiom,(
% 0.13/0.37 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| greater_or_equal(sk1(B,A),B)| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f7,axiom,(
% 0.13/0.37 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| in_environment(A,sk2(A)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f8,axiom,(
% 0.13/0.37 (![A,B]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| ~ greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f9,axiom,(
% 0.13/0.37 (![A,B,C]: (( ~ environment(A)| ~ in_environment(A,B)| ~ greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))| ~ subpopulations(first_movers,efficient_producers,A,C)| ~ greater(C,sk2(A))| greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f10,hypothesis,(
% 0.13/0.37 (![A]: (( ~ environment(A)| ~ stable(A)| in_environment(A,sk3(A)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f11,hypothesis,(
% 0.13/0.37 (![A,B]: (( ~ environment(A)| ~ stable(A)| ~ subpopulations(first_movers,efficient_producers,A,B)| ~ greater_or_equal(B,sk3(A))| greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f12,negated_conjecture,(
% 0.13/0.37 environment(sk4) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f13,negated_conjecture,(
% 0.13/0.37 stable(sk4) ),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f14,negated_conjecture,(
% 0.13/0.37 (![A]: (( ~ in_environment(sk4,A)| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))| subpopulations(first_movers,efficient_producers,sk4,sk5(A)) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f15,negated_conjecture,(
% 0.13/0.37 (![A]: (( ~ in_environment(sk4,A)| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))| greater(sk5(A),A) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f16,negated_conjecture,(
% 0.13/0.37 (![A]: (( ~ in_environment(sk4,A)| greater(growth_rate(efficient_producers,A),growth_rate(first_movers,A))| ~ greater(growth_rate(efficient_producers,sk5(A)),growth_rate(first_movers,sk5(A))) ) ))),
% 0.13/0.37 file('/export/starexec/sandbox/benchmark/theBenchmark.p')).
% 0.13/0.37 fof(f17,plain,(
% 0.13/0.37 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|in_environment(A,sk2(A)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f1])).
% 0.13/0.37 fof(f18,plain,(
% 0.13/0.37 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|in_environment(X0,sk2(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f17])).
% 0.13/0.37 fof(f19,plain,(
% 0.13/0.37 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|in_environment(A,sk2(A)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f2])).
% 0.13/0.37 fof(f20,plain,(
% 0.13/0.37 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|in_environment(X0,sk2(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f19])).
% 0.13/0.37 fof(f21,plain,(
% 0.13/0.37 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f3])).
% 0.13/0.37 fof(f22,plain,(
% 0.13/0.37 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f21])).
% 0.13/0.37 fof(f23,plain,(
% 0.13/0.37 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|subpopulations(first_movers,efficient_producers,A,sk1(B,A))))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f4])).
% 0.13/0.37 fof(f24,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|subpopulations(first_movers,efficient_producers,X0,sk1(X1,X0))|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f23])).
% 0.13/0.37 fof(f25,plain,(
% 0.13/0.37 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f5])).
% 0.13/0.37 fof(f26,plain,(
% 0.13/0.37 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f25])).
% 0.13/0.37 fof(f27,plain,(
% 0.13/0.37 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|greater_or_equal(sk1(B,A),B)))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f6])).
% 0.13/0.37 fof(f28,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|greater_or_equal(sk1(X1,X0),X1)|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f27])).
% 0.13/0.37 fof(f29,plain,(
% 0.13/0.37 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|in_environment(A,sk2(A)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f7])).
% 0.13/0.37 fof(f30,plain,(
% 0.13/0.37 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|in_environment(X0,sk2(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f29])).
% 0.13/0.37 fof(f31,plain,(
% 0.13/0.37 ![A]: ((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|~greater(growth_rate(efficient_producers,sk2(A)),growth_rate(first_movers,sk2(A))))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f8])).
% 0.13/0.37 fof(f32,plain,(
% 0.13/0.37 ![X0,X1]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|~greater(growth_rate(efficient_producers,sk2(X0)),growth_rate(first_movers,sk2(X0))))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f31])).
% 0.13/0.37 fof(f33,plain,(
% 0.13/0.37 ![C]: ((![A]: (((![B]: ((~environment(A)|~in_environment(A,B))|~greater(growth_rate(efficient_producers,sk1(B,A)),growth_rate(first_movers,sk1(B,A)))))|~subpopulations(first_movers,efficient_producers,A,C))|~greater(C,sk2(A))))|greater(growth_rate(efficient_producers,C),growth_rate(first_movers,C)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f9])).
% 0.13/0.37 fof(f34,plain,(
% 0.13/0.37 ![X0,X1,X2]: (~environment(X0)|~in_environment(X0,X1)|~greater(growth_rate(efficient_producers,sk1(X1,X0)),growth_rate(first_movers,sk1(X1,X0)))|~subpopulations(first_movers,efficient_producers,X0,X2)|~greater(X2,sk2(X0))|greater(growth_rate(efficient_producers,X2),growth_rate(first_movers,X2)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f33])).
% 0.13/0.37 fof(f35,plain,(
% 0.13/0.37 ![X0]: (~environment(X0)|~stable(X0)|in_environment(X0,sk3(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f10])).
% 0.13/0.37 fof(f36,plain,(
% 0.13/0.37 ![B]: ((![A]: (((~environment(A)|~stable(A))|~subpopulations(first_movers,efficient_producers,A,B))|~greater_or_equal(B,sk3(A))))|greater(growth_rate(efficient_producers,B),growth_rate(first_movers,B)))),
% 0.13/0.37 inference(miniscoping,[status(esa)],[f11])).
% 0.13/0.37 fof(f37,plain,(
% 0.13/0.37 ![X0,X1]: (~environment(X0)|~stable(X0)|~subpopulations(first_movers,efficient_producers,X0,X1)|~greater_or_equal(X1,sk3(X0))|greater(growth_rate(efficient_producers,X1),growth_rate(first_movers,X1)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f36])).
% 0.13/0.37 fof(f38,plain,(
% 0.13/0.37 environment(sk4)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f12])).
% 0.13/0.37 fof(f39,plain,(
% 0.13/0.37 stable(sk4)),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f13])).
% 0.13/0.37 fof(f40,plain,(
% 0.13/0.37 ![X0]: (~in_environment(sk4,X0)|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|subpopulations(first_movers,efficient_producers,sk4,sk5(X0)))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f14])).
% 0.13/0.37 fof(f41,plain,(
% 0.13/0.37 ![X0]: (~in_environment(sk4,X0)|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|greater(sk5(X0),X0))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f15])).
% 0.13/0.37 fof(f42,plain,(
% 0.13/0.37 ![X0]: (~in_environment(sk4,X0)|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~greater(growth_rate(efficient_producers,sk5(X0)),growth_rate(first_movers,sk5(X0))))),
% 0.13/0.37 inference(cnf_transformation,[status(esa)],[f16])).
% 0.13/0.37 fof(f43,plain,(
% 0.13/0.37 spl0_0 <=> environment(sk4)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f45,plain,(
% 0.13/0.37 ~environment(sk4)|spl0_0),
% 0.13/0.37 inference(component_clause,[status(thm)],[f43])).
% 0.13/0.37 fof(f46,plain,(
% 0.13/0.37 spl0_1 <=> in_environment(sk4,sk3(sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f47,plain,(
% 0.13/0.37 in_environment(sk4,sk3(sk4))|~spl0_1),
% 0.13/0.37 inference(component_clause,[status(thm)],[f46])).
% 0.13/0.37 fof(f49,plain,(
% 0.13/0.37 ~environment(sk4)|in_environment(sk4,sk3(sk4))),
% 0.13/0.37 inference(resolution,[status(thm)],[f35,f39])).
% 0.13/0.37 fof(f50,plain,(
% 0.13/0.37 ~spl0_0|spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f49,f43,f46])).
% 0.13/0.37 fof(f51,plain,(
% 0.13/0.37 $false|spl0_0),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f45,f38])).
% 0.13/0.37 fof(f52,plain,(
% 0.13/0.37 spl0_0),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f51])).
% 0.13/0.37 fof(f53,plain,(
% 0.13/0.37 spl0_2 <=> greater(growth_rate(efficient_producers,sk3(sk4)),growth_rate(first_movers,sk3(sk4)))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f56,plain,(
% 0.13/0.37 spl0_3 <=> subpopulations(first_movers,efficient_producers,sk4,sk5(sk3(sk4)))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f57,plain,(
% 0.13/0.37 subpopulations(first_movers,efficient_producers,sk4,sk5(sk3(sk4)))|~spl0_3),
% 0.13/0.37 inference(component_clause,[status(thm)],[f56])).
% 0.13/0.37 fof(f59,plain,(
% 0.13/0.37 greater(growth_rate(efficient_producers,sk3(sk4)),growth_rate(first_movers,sk3(sk4)))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk3(sk4)))|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f47,f40])).
% 0.13/0.37 fof(f60,plain,(
% 0.13/0.37 spl0_2|spl0_3|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f59,f53,f56,f46])).
% 0.13/0.37 fof(f61,plain,(
% 0.13/0.37 spl0_4 <=> greater(sk5(sk3(sk4)),sk3(sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f64,plain,(
% 0.13/0.37 greater(growth_rate(efficient_producers,sk3(sk4)),growth_rate(first_movers,sk3(sk4)))|greater(sk5(sk3(sk4)),sk3(sk4))|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f47,f41])).
% 0.13/0.37 fof(f65,plain,(
% 0.13/0.37 spl0_2|spl0_4|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f64,f53,f61,f46])).
% 0.13/0.37 fof(f66,plain,(
% 0.13/0.37 spl0_5 <=> greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f69,plain,(
% 0.13/0.37 spl0_6 <=> ~subpopulations(first_movers,efficient_producers,sk4,X0)|~greater(X0,sk2(sk4))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f70,plain,(
% 0.13/0.37 ![X0]: (~subpopulations(first_movers,efficient_producers,sk4,X0)|~greater(X0,sk2(sk4))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~spl0_6)),
% 0.13/0.37 inference(component_clause,[status(thm)],[f69])).
% 0.13/0.37 fof(f72,plain,(
% 0.13/0.37 ![X0]: (~environment(sk4)|greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|~subpopulations(first_movers,efficient_producers,sk4,X0)|~greater(X0,sk2(sk4))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~spl0_1)),
% 0.13/0.37 inference(resolution,[status(thm)],[f47,f28])).
% 0.13/0.37 fof(f73,plain,(
% 0.13/0.37 ~spl0_0|spl0_5|spl0_6|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f72,f43,f66,f69,f46])).
% 0.13/0.37 fof(f74,plain,(
% 0.13/0.37 spl0_7 <=> greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f77,plain,(
% 0.13/0.37 ~environment(sk4)|greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f47,f26])).
% 0.13/0.37 fof(f78,plain,(
% 0.13/0.37 ~spl0_0|spl0_5|~spl0_7|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f77,f43,f66,f74,f46])).
% 0.13/0.37 fof(f79,plain,(
% 0.13/0.37 spl0_8 <=> in_environment(sk4,sk2(sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f80,plain,(
% 0.13/0.37 in_environment(sk4,sk2(sk4))|~spl0_8),
% 0.13/0.37 inference(component_clause,[status(thm)],[f79])).
% 0.13/0.37 fof(f82,plain,(
% 0.13/0.37 ~environment(sk4)|greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|in_environment(sk4,sk2(sk4))|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f47,f20])).
% 0.13/0.37 fof(f83,plain,(
% 0.13/0.37 ~spl0_0|spl0_5|spl0_8|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f82,f43,f66,f79,f46])).
% 0.13/0.37 fof(f84,plain,(
% 0.13/0.37 spl0_9 <=> subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f85,plain,(
% 0.13/0.37 subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|~spl0_9),
% 0.13/0.37 inference(component_clause,[status(thm)],[f84])).
% 0.13/0.37 fof(f87,plain,(
% 0.13/0.37 ![X0]: (~environment(sk4)|subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|~subpopulations(first_movers,efficient_producers,sk4,X0)|~greater(X0,sk2(sk4))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~spl0_1)),
% 0.13/0.37 inference(resolution,[status(thm)],[f47,f24])).
% 0.13/0.37 fof(f88,plain,(
% 0.13/0.37 ~spl0_0|spl0_9|spl0_6|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f87,f43,f84,f69,f46])).
% 0.13/0.37 fof(f89,plain,(
% 0.13/0.37 ~environment(sk4)|subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f47,f22])).
% 0.13/0.37 fof(f90,plain,(
% 0.13/0.37 ~spl0_0|spl0_9|~spl0_7|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f89,f43,f84,f74,f46])).
% 0.13/0.37 fof(f91,plain,(
% 0.13/0.37 ~environment(sk4)|subpopulations(first_movers,efficient_producers,sk4,sk1(sk3(sk4),sk4))|in_environment(sk4,sk2(sk4))|~spl0_1),
% 0.13/0.37 inference(resolution,[status(thm)],[f47,f18])).
% 0.13/0.37 fof(f92,plain,(
% 0.13/0.37 ~spl0_0|spl0_9|spl0_8|~spl0_1),
% 0.13/0.37 inference(split_clause,[status(thm)],[f91,f43,f84,f79,f46])).
% 0.13/0.37 fof(f93,plain,(
% 0.13/0.37 spl0_10 <=> stable(sk4)),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f95,plain,(
% 0.13/0.37 ~stable(sk4)|spl0_10),
% 0.13/0.37 inference(component_clause,[status(thm)],[f93])).
% 0.13/0.37 fof(f96,plain,(
% 0.13/0.37 spl0_11 <=> greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f97,plain,(
% 0.13/0.37 greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|~spl0_11),
% 0.13/0.37 inference(component_clause,[status(thm)],[f96])).
% 0.13/0.37 fof(f99,plain,(
% 0.13/0.37 ~environment(sk4)|~stable(sk4)|~greater_or_equal(sk1(sk3(sk4),sk4),sk3(sk4))|greater(growth_rate(efficient_producers,sk1(sk3(sk4),sk4)),growth_rate(first_movers,sk1(sk3(sk4),sk4)))|~spl0_9),
% 0.13/0.37 inference(resolution,[status(thm)],[f85,f37])).
% 0.13/0.37 fof(f100,plain,(
% 0.13/0.37 ~spl0_0|~spl0_10|~spl0_5|spl0_11|~spl0_9),
% 0.13/0.37 inference(split_clause,[status(thm)],[f99,f43,f93,f66,f96,f84])).
% 0.13/0.37 fof(f101,plain,(
% 0.13/0.37 $false|spl0_10),
% 0.13/0.37 inference(forward_subsumption_resolution,[status(thm)],[f95,f39])).
% 0.13/0.37 fof(f102,plain,(
% 0.13/0.37 spl0_10),
% 0.13/0.37 inference(contradiction_clause,[status(thm)],[f101])).
% 0.13/0.37 fof(f103,plain,(
% 0.13/0.37 spl0_12 <=> subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f104,plain,(
% 0.13/0.37 subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|~spl0_12),
% 0.13/0.37 inference(component_clause,[status(thm)],[f103])).
% 0.13/0.37 fof(f106,plain,(
% 0.13/0.37 greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|subpopulations(first_movers,efficient_producers,sk4,sk5(sk2(sk4)))|~spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f80,f40])).
% 0.13/0.37 fof(f107,plain,(
% 0.13/0.37 spl0_7|spl0_12|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f106,f74,f103,f79])).
% 0.13/0.37 fof(f108,plain,(
% 0.13/0.37 spl0_13 <=> greater(sk5(sk2(sk4)),sk2(sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f111,plain,(
% 0.13/0.37 greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|greater(sk5(sk2(sk4)),sk2(sk4))|~spl0_8),
% 0.13/0.37 inference(resolution,[status(thm)],[f80,f41])).
% 0.13/0.37 fof(f112,plain,(
% 0.13/0.37 spl0_7|spl0_13|~spl0_8),
% 0.13/0.37 inference(split_clause,[status(thm)],[f111,f74,f108,f79])).
% 0.13/0.37 fof(f133,plain,(
% 0.13/0.37 ![X0]: (~environment(sk4)|~in_environment(sk4,sk3(sk4))|~subpopulations(first_movers,efficient_producers,sk4,X0)|~greater(X0,sk2(sk4))|greater(growth_rate(efficient_producers,X0),growth_rate(first_movers,X0))|~spl0_11)),
% 0.13/0.37 inference(resolution,[status(thm)],[f97,f34])).
% 0.13/0.37 fof(f134,plain,(
% 0.13/0.37 ~spl0_0|~spl0_1|spl0_6|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f133,f43,f46,f69,f96])).
% 0.13/0.37 fof(f135,plain,(
% 0.13/0.37 ~environment(sk4)|~in_environment(sk4,sk3(sk4))|~greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|~spl0_11),
% 0.13/0.37 inference(resolution,[status(thm)],[f97,f32])).
% 0.13/0.37 fof(f136,plain,(
% 0.13/0.37 ~spl0_0|~spl0_1|~spl0_7|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f135,f43,f46,f74,f96])).
% 0.13/0.37 fof(f137,plain,(
% 0.13/0.37 ~environment(sk4)|~in_environment(sk4,sk3(sk4))|in_environment(sk4,sk2(sk4))|~spl0_11),
% 0.13/0.37 inference(resolution,[status(thm)],[f97,f30])).
% 0.13/0.37 fof(f138,plain,(
% 0.13/0.37 ~spl0_0|~spl0_1|spl0_8|~spl0_11),
% 0.13/0.37 inference(split_clause,[status(thm)],[f137,f43,f46,f79,f96])).
% 0.13/0.37 fof(f155,plain,(
% 0.13/0.37 spl0_16 <=> greater_or_equal(sk5(sk2(sk4)),sk3(sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f158,plain,(
% 0.13/0.37 spl0_17 <=> greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f159,plain,(
% 0.13/0.37 greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))|~spl0_17),
% 0.13/0.37 inference(component_clause,[status(thm)],[f158])).
% 0.13/0.37 fof(f161,plain,(
% 0.13/0.37 ~environment(sk4)|~stable(sk4)|~greater_or_equal(sk5(sk2(sk4)),sk3(sk4))|greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))|~spl0_12),
% 0.13/0.37 inference(resolution,[status(thm)],[f104,f37])).
% 0.13/0.37 fof(f162,plain,(
% 0.13/0.37 ~spl0_0|~spl0_10|~spl0_16|spl0_17|~spl0_12),
% 0.13/0.37 inference(split_clause,[status(thm)],[f161,f43,f93,f155,f158,f103])).
% 0.13/0.37 fof(f171,plain,(
% 0.13/0.37 spl0_20 <=> greater_or_equal(sk5(sk3(sk4)),sk3(sk4))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f174,plain,(
% 0.13/0.37 spl0_21 <=> greater(growth_rate(efficient_producers,sk5(sk3(sk4))),growth_rate(first_movers,sk5(sk3(sk4))))),
% 0.13/0.37 introduced(split_symbol_definition)).
% 0.13/0.37 fof(f177,plain,(
% 0.13/0.37 ~environment(sk4)|~stable(sk4)|~greater_or_equal(sk5(sk3(sk4)),sk3(sk4))|greater(growth_rate(efficient_producers,sk5(sk3(sk4))),growth_rate(first_movers,sk5(sk3(sk4))))|~spl0_3),
% 0.13/0.37 inference(resolution,[status(thm)],[f57,f37])).
% 0.13/0.37 fof(f178,plain,(
% 0.13/0.37 ~spl0_0|~spl0_10|~spl0_20|spl0_21|~spl0_3),
% 0.13/0.37 inference(split_clause,[status(thm)],[f177,f43,f93,f171,f174,f56])).
% 0.13/0.37 fof(f179,plain,(
% 0.13/0.37 ~greater(sk5(sk2(sk4)),sk2(sk4))|greater(growth_rate(efficient_producers,sk5(sk2(sk4))),growth_rate(first_movers,sk5(sk2(sk4))))|~spl0_6|~spl0_12),
% 0.13/0.37 inference(resolution,[status(thm)],[f70,f104])).
% 0.13/0.37 fof(f180,plain,(
% 0.13/0.37 ~spl0_13|spl0_17|~spl0_6|~spl0_12),
% 0.13/0.37 inference(split_clause,[status(thm)],[f179,f108,f158,f69,f103])).
% 0.13/0.37 fof(f181,plain,(
% 0.13/0.37 ~in_environment(sk4,sk2(sk4))|greater(growth_rate(efficient_producers,sk2(sk4)),growth_rate(first_movers,sk2(sk4)))|~spl0_17),
% 0.13/0.37 inference(resolution,[status(thm)],[f159,f42])).
% 0.13/0.37 fof(f182,plain,(
% 0.13/0.37 ~spl0_8|spl0_7|~spl0_17),
% 0.13/0.37 inference(split_clause,[status(thm)],[f181,f79,f74,f158])).
% 0.13/0.37 fof(f183,plain,(
% 0.13/0.37 $false),
% 0.13/0.37 inference(sat_refutation,[status(thm)],[f50,f52,f60,f65,f73,f78,f83,f88,f90,f92,f100,f102,f107,f112,f134,f136,f138,f162,f178,f180,f182])).
% 0.13/0.37 % SZS output end CNFRefutation for theBenchmark.p
% 0.13/0.38 % Elapsed time: 0.021167 seconds
% 0.13/0.38 % CPU time: 0.061362 seconds
% 0.13/0.38 % Total memory used: 3.318 MB
% 0.13/0.38 % Net memory used: 3.287 MB
%------------------------------------------------------------------------------